1064388740800 has 1008 divisors, whose sum is σ = 3567564518400. Its totient is φ = 307954483200.

The previous prime is 1064388740773. The next prime is 1064388740819. The reversal of 1064388740800 is 80478834601.

It is a happy number.

It is a super-2 number, since 2×1064388740800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1158202741 + ... + 1158203659.

Almost surely, 2^{1064388740800} is an apocalyptic number.

1064388740800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064388740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783782259200).

1064388740800 is an abundant number, since it is smaller than the sum of its proper divisors (2503175777600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064388740800 is a wasteful number, since it uses less digits than its factorization.

1064388740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 1064388740800 in words is "one trillion, sixty-four billion, three hundred eighty-eight million, seven hundred forty thousand, eight hundred".